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Finding the Fourth Proportional to 77,167.36, 115,755 and 21,767.68

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Solution

The fourth proportional to 77,167.36, 115,755 and 21,767.68 is: 32,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,167.36 : 115,755 = 21,767.68 : x
  2. Step 2: Convert to fraction form
    77,167.36/115,755 = 21,767.68/x
  3. Step 3: Cross multiply
    77,167.36x = 115,755 × 21,767.68
  4. Step 4: Simplify right side
    77,167.36x = 2,519,717,798.40
  5. Step 5: Solve for x
    x = 2,519,717,798.40/77,167.36
  6. Step 6: Final answer
    x = 32,652.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.